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Finding the Fourth Proportional to 448,019.86, 671,796.47 and 211,298.98

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Solution

The fourth proportional to 448,019.86, 671,796.47 and 211,298.98 is: 316,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,019.86 : 671,796.47 = 211,298.98 : x
  2. Step 2: Convert to fraction form
    448,019.86/671,796.47 = 211,298.98/x
  3. Step 3: Cross multiply
    448,019.86x = 671,796.47 × 211,298.98
  4. Step 4: Simplify right side
    448,019.86x = 141,949,908,878.60
  5. Step 5: Solve for x
    x = 141,949,908,878.60/448,019.86
  6. Step 6: Final answer
    x = 316,838.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.